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Finding the Third Proportional to 1,200,422 and 2,600,135

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Solution

The third proportional to 1,200,422 and 2,600,135 is: 5,631,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,422 : 2,600,135 = 2,600,135 : x
  2. Step 2: Convert to fraction form
    1,200,422/2,600,135 = 2,600,135/x
  3. Step 3: Cross multiply
    1,200,422x = 2,600,135 × 2,600,135
  4. Step 4: Simplify right side
    1,200,422x = 6,760,702,018,225
  5. Step 5: Solve for x
    x = 6,760,702,018,225/1,200,422
  6. Step 6: Final answer
    x = 5,631,937.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.